{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7b761b6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from pathlib import Path\n",
    "import ross as rs\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d9c51fb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义材料from E and G_s\n",
    "steel = rs.Material(name=\"Steel\", rho=7850, E=211e9, G_s=81.2e9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5c89eee6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Element Number:             None\n",
      "Element Lenght   (m):        1.0\n",
      "Left Int. Diam.  (m):       0.25\n",
      "Left Out. Diam.  (m):       0.75\n",
      "Right Int. Diam. (m):       0.25\n",
      "Right Out. Diam. (m):       0.75\n",
      "-----------------------------------\n",
      "Steel\n",
      "-----------------------------------\n",
      "Density         (kg/m**3): 7850.0\n",
      "Young`s modulus (N/m**2):  2.11e+11\n",
      "Shear modulus   (N/m**2):  8.12e+10\n",
      "Poisson coefficient     :  0.29926108\n"
     ]
    }
   ],
   "source": [
    "shaft = rs.ShaftElement(\n",
    "        L=1,\n",
    "        idl=0.25,\n",
    "        odl=0.75,\n",
    "        material=steel,\n",
    "        shear_effects=True,\n",
    "        rotary_inertia=True,\n",
    "        gyroscopic=True,\n",
    "    )\n",
    "print(shaft)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "adcf2394",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1087.27308217,    0.        ,    0.        ,  126.55777955,\n",
       "         454.0708135 ,    0.        ,    0.        , -130.33286973],\n",
       "       [   0.        , 1087.27308217, -126.55777955,    0.        ,\n",
       "           0.        ,  454.0708135 ,  130.33286973,    0.        ],\n",
       "       [   0.        , -126.55777955,   49.01306252,    0.        ,\n",
       "           0.        , -130.33286973,  -22.43464931,    0.        ],\n",
       "       [ 126.55777955,    0.        ,    0.        ,   49.01306252,\n",
       "         130.33286973,    0.        ,    0.        ,  -22.43464931],\n",
       "       [ 454.0708135 ,    0.        ,    0.        ,  130.33286973,\n",
       "        1087.27308217,    0.        ,    0.        , -126.55777955],\n",
       "       [   0.        ,  454.0708135 , -130.33286973,    0.        ,\n",
       "           0.        , 1087.27308217,  126.55777955,    0.        ],\n",
       "       [   0.        ,  130.33286973,  -22.43464931,    0.        ,\n",
       "           0.        ,  126.55777955,   49.01306252,    0.        ],\n",
       "       [-130.33286973,    0.        ,    0.        ,  -22.43464931,\n",
       "        -126.55777955,    0.        ,    0.        ,   49.01306252]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shaft.M() # 返回质量矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ca1baf45",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.43531290e+10,  0.00000000e+00,  0.00000000e+00,\n",
       "         7.17656452e+09, -1.43531290e+10,  0.00000000e+00,\n",
       "         0.00000000e+00,  7.17656452e+09],\n",
       "       [ 0.00000000e+00,  1.43531290e+10, -7.17656452e+09,\n",
       "         0.00000000e+00,  0.00000000e+00, -1.43531290e+10,\n",
       "        -7.17656452e+09,  0.00000000e+00],\n",
       "       [ 0.00000000e+00, -7.17656452e+09,  6.82498172e+09,\n",
       "         0.00000000e+00,  0.00000000e+00,  7.17656452e+09,\n",
       "         3.51582798e+08,  0.00000000e+00],\n",
       "       [ 7.17656452e+09,  0.00000000e+00,  0.00000000e+00,\n",
       "         6.82498172e+09, -7.17656452e+09,  0.00000000e+00,\n",
       "         0.00000000e+00,  3.51582798e+08],\n",
       "       [-1.43531290e+10,  0.00000000e+00,  0.00000000e+00,\n",
       "        -7.17656452e+09,  1.43531290e+10,  0.00000000e+00,\n",
       "         0.00000000e+00, -7.17656452e+09],\n",
       "       [ 0.00000000e+00, -1.43531290e+10,  7.17656452e+09,\n",
       "         0.00000000e+00,  0.00000000e+00,  1.43531290e+10,\n",
       "         7.17656452e+09,  0.00000000e+00],\n",
       "       [ 0.00000000e+00, -7.17656452e+09,  3.51582798e+08,\n",
       "         0.00000000e+00,  0.00000000e+00,  7.17656452e+09,\n",
       "         6.82498172e+09,  0.00000000e+00],\n",
       "       [ 7.17656452e+09,  0.00000000e+00,  0.00000000e+00,\n",
       "         3.51582798e+08, -7.17656452e+09,  0.00000000e+00,\n",
       "         0.00000000e+00,  6.82498172e+09]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shaft.K()#返回刚度矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "46423168",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shaft.C() # 返回阻尼矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "a85f524a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[ShaftElement(L=0.2, idl=0.01, idr=0.01, odl=0.05,  odr=0.05, material='Steel', n=None),\n",
       " ShaftElement(L=0.2, idl=0.0, idr=0.0, odl=0.05,  odr=0.05, material='Steel', n=None),\n",
       " ShaftElement(L=0.1, idl=0.0, idr=0.0, odl=0.06,  odr=0.06, material='Steel', n=None),\n",
       " ShaftElement(L=0.1, idl=0.0, idr=0.0, odl=0.06,  odr=0.06, material='Steel', n=None),\n",
       " ShaftElement(L=0.2, idl=0.0, idr=0.0, odl=0.05,  odr=0.05, material='Steel', n=None),\n",
       " ShaftElement(L=0.2, idl=0.01, idr=0.01, odl=0.05,  odr=0.05, material='Steel', n=None)]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 定义轴类\n",
    "L =   [0.20, 0.20, 0.10, 0.10, 0.20, 0.20]\n",
    "i_d = [0.01,    0,    0,    0,    0, 0.01]\n",
    "o_d = [0.05, 0.05, 0.06, 0.06, 0.05, 0.05]\n",
    "shaft_elements = [\n",
    "    rs.ShaftElement(\n",
    "        L=l,\n",
    "        idl=idl,\n",
    "        odl=odl,\n",
    "        material=steel,\n",
    "        shear_effects=True,\n",
    "        rotary_inertia=True,\n",
    "        gyroscopic=True,\n",
    "    )\n",
    "    for l, idl, odl in zip(L, i_d, o_d)\n",
    "]\n",
    "shaft_elements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "44aaa88a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DiskElement(Id=0.329, Ip=0.178, m=100.0, color='Firebrick', n=0, scale_factor=1.0, tag='Disk')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 盘类（引入系统质量和惯量，而不会增加系统的刚度）\n",
    "disk = rs.DiskElement(\n",
    "    n=0,\n",
    "    m=100,\n",
    "    Ip=0.178,\n",
    "    Id=0.329,\n",
    "    tag=\"Disk\"\n",
    ")\n",
    "disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3ead524e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tag:                      Disk\n",
      "Node:                     0\n",
      "Mass           (kg):      100.0\n",
      "Diam. inertia  (kg*m**2): 0.329\n",
      "Polar. inertia (kg*m**2): 0.178\n"
     ]
    }
   ],
   "source": [
    "print(disk)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "bcd8b4d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "disk1 = rs.DiskElement.from_geometry(\n",
    "    n=4,\n",
    "    material=steel,\n",
    "    width=1,\n",
    "    i_d=0,\n",
    "    o_d=1\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3fb6e72a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tag:                      None\n",
      "Node:                     4\n",
      "Mass           (kg):      6165.4\n",
      "Diam. inertia  (kg*m**2): 899.12\n",
      "Polar. inertia (kg*m**2): 770.67\n"
     ]
    }
   ],
   "source": [
    "print(disk1)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "8ead571c",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "1c8a1be1",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5ce0db5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "m=6165.4\n",
    "Ip=1/2*m*(0.5*0.5)\n",
    "Ip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0d70d40b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "899.1208333333332"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I=m*(0.5*0.5/4+1/12)\n",
    "I"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "343c9f57",
   "metadata": {},
   "outputs": [],
   "source": [
    "disk2 = rs.DiskElement.from_geometry(\n",
    "    n=4,\n",
    "    material=steel,\n",
    "    width=2,\n",
    "    i_d=0,\n",
    "    o_d=1\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "279a78d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "def mass(pho,d,l):\n",
    "    return pho*l*d**2/4*math.pi\n",
    "\n",
    "def calc(m,d,l):\n",
    "    r = d/2\n",
    "    Ip = 1/2*m*r**2\n",
    "    Id = m*(r**2/4+l**2/12)\n",
    "    result = f'The moment of inertia Ip:{Ip}\\nthe diametral moments of inertia:{Id}'\n",
    "    return result\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "bb5a5306",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6165.375582669969\n",
      "The moment of inertia Ip:770.6719478337461\n",
      "the diametral moments of inertia:899.1172724727037\n",
      "====================\n",
      "12330.751165339938\n",
      "The moment of inertia Ip:1541.3438956674922\n",
      "the diametral moments of inertia:4880.922336280391\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "m = mass(7850,1,1)\n",
    "print(m)\n",
    "print(calc(m,1,1))\n",
    "print('='*20)\n",
    "m = mass(7850,1,2)\n",
    "print(m)\n",
    "print(calc(m,1,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "feeaa02f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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